We divide 14301 by 61
We want to figure out the number of times 14301 can be divided by 61.

Step 1:
61 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 61

Let's proceed to step 2:
61 goes into 14 0 times with a remainder of 14.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 14 leaves us with 14.
Fetch the next digit (3) from the dividend, attach it to 14 and continue: 143 / 61

On to step 3:
If we divide 143 by 61, we get 2 and a remainder of 21.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 122 from 143 and we're left with 21.
Include the next digit (0) from the dividend after 21, then repeat: 210 / 61

Advancing to step 4:
The number 61 fits into 210 3 times, leaving a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 23.0
Subtracting 183 from 210 leaves us with 27.
Include the next digit (1) from the dividend after 27, then repeat: 271 / 61

Advancing to step 5:
271 divided by 61 is 4 with a remainder of 27.
The number 4 becomes the next digit in our result. 
Result so far: 234.0
Subtract 244 from 271 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 6:
61 goes into 270 4 times with a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 234.4
If we subtract 244 from 270, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 7:
61 can be fit into 260 4 times, resulting in a remainder of 16.
The next digit of our result is 4. 
Result so far: 234.44
Subtract 244 from 260 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The quotient of the division is 234.44, and the remainder is 0.016.